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- Hamming_scheme abstract "The Hamming scheme, named after Richard Hamming, is also known as the hyper-cubic association scheme, and it is the most important example for coding theory. In this scheme , the set of binary vectors of length , and two vectors , are -th associates if they are Hamming distance apart. Recall that an association scheme is visualized as a complete graph with labeled edges. The graph has vertices, one for each point of , and the edge joining vertices and is labeled if and are -th associates. Each edge has a unique label, and the number of triangles with a fixed base labeled having the other edges labeled and is a constant , depending on but not on the choice of the base. In particular, each vertex is incident with exactly edges labeled is the valency of the relation . The in a Hamming scheme are given by Here, and . The matrices in the Bose-Mesner algebra are matrices, with rows and columns labeled by vectors . In particular the -th entry of is if and only if.".
- Hamming_scheme wikiPageID "22649319".
- Hamming_scheme wikiPageRevisionID "602969365".
- Hamming_scheme hasPhotoCollection Hamming_scheme.
- Hamming_scheme subject Category:Coding_theory.
- Hamming_scheme comment "The Hamming scheme, named after Richard Hamming, is also known as the hyper-cubic association scheme, and it is the most important example for coding theory. In this scheme , the set of binary vectors of length , and two vectors , are -th associates if they are Hamming distance apart. Recall that an association scheme is visualized as a complete graph with labeled edges. The graph has vertices, one for each point of , and the edge joining vertices and is labeled if and are -th associates.".
- Hamming_scheme label "Hamming scheme".
- Hamming_scheme sameAs m.05zm408.
- Hamming_scheme sameAs Q5645800.
- Hamming_scheme sameAs Q5645800.
- Hamming_scheme wasDerivedFrom Hamming_scheme?oldid=602969365.
- Hamming_scheme isPrimaryTopicOf Hamming_scheme.